as long as genders must be segregated in some areas, it is cheaper for one gender only in military - think this is a huge reason (besides less powerful by nature) that women have been excluded from military for long time?

You just do not understand. There was one soldier who lost a leg in battle, so when he was in hospital his mates visited him and brought him a toy parrot, eye patch and peg leg. If you cannot get our sense of humour then I really cannot explain it to you.